f(x) = x3 + x2 − 4x − 4
f(x) = x3 + 4x2 − x − 4
f(x) = x3 + 3x2 − 4x − 12
f(x) = x3 + 2x2 − 4x − 8
Using the Factor Theorem, the function that best represents the graph is given by:
f(x) = x³ + x² - 4x - 4.
The Factor Theorem states that a polynomial function with roots is given by:
In which a is the leading coefficient
In this problem, we consider a = 1, and the roots are the x-intercepts, hence:
f(x) = (x + 2)(x + 1)(x - 2)
f(x) = (x² + 3x + 2)(x - 2)
f(x) = x³ + x² - 4x - 4.
More can be learned about the Factor Theorem at brainly.com/question/24380382
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–6 only
–2, 1, or 3 only
–6, –2, 1, or 3 only
To find where f(x)=0, also known as the root or solution of the function, you need to know the specific function. With the specifics of the function, you could then solve for x using methods like factoring, completing the square, or the quadratic formula.
In mathematics, when we say f(x) = 0, we are seeking for the values of x that would make the function f(x) equal to zero. This is traditionally referred to as finding the root, zero or solution of the function. However, without a specific function, such as f(x) = x^2 - 4 for example, we can't specify which values x may take. If we knew more about the particulars of the function, we could use a variety of methods such as factoring, completing the square, or using the quadratic formula to solve for x.
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Answer:
0.25
Step-by-step explanation:
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